Asymptotic Analysis of Soliton Problems: an inverse scattering approach

Introduction....Pages 1-12
The emergence of solitons of the Korteweg-de Vries equation from arbitrary initial conditions....Pages 13-33
Asymptotic estimates of solutions of the Korteweg-de Vries equation on right half lines slowly moving to the left....Pages 34-77
Multisoliton phase shifts for the korteweg-de vries equation in the case of a nonzero reflection coefficient....Pages 78-88
On the approximation of a real potential in the Zakharov-Shabat system by its reflectionless part....Pages 89-108
Decomposition and estimates of solutions of the modified Korteweg-de Vries equation on right half lines slowly moving leftward....Pages 109-123
Multisoliton phase shifts for the modified Korteweg-de Vries equation in the case of a nonzero reflection coefficient....Pages 124-135
Asymptotic estimates of solutions of the Sine-Gordon equation on right half lines almost linearly moving leftward....Pages 136-150
On the approximation of a complex potential in the Zakharov-Shabat system by its reflectionless part....Pages 151-172